Search a number
-
+
1220217542141 = 131074001219251
BaseRepresentation
bin10001110000011010101…
…000100001010111111101
311022122121001120122221112
4101300122220201113331
5124443001142322031
62332321000411405
7154105061655413
oct21603250412775
94278531518845
101220217542141
11430544a9a804
121785a0476b65
138b0b207c3b0
14430b767b2b3
1521b19ac862b
hex11c1aa215fd

1220217542141 has 16 divisors (see below), whose sum is σ = 1326699114048. Its totient is φ = 1115544000000.

The previous prime is 1220217542069. The next prime is 1220217542153. The reversal of 1220217542141 is 1412457120221.

It is a cyclic number.

It is not a de Polignac number, because 1220217542141 - 226 = 1220150433277 is a prime.

It is a super-2 number, since 2×12202175421412 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1220217542098 and 1220217542107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220217542171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5455766 + ... + 5675016.

It is an arithmetic number, because the mean of its divisors is an integer number (82918694628).

Almost surely, 21220217542141 is an apocalyptic number.

It is an amenable number.

1220217542141 is a deficient number, since it is larger than the sum of its proper divisors (106481571907).

1220217542141 is a wasteful number, since it uses less digits than its factorization.

1220217542141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223372.

The product of its (nonzero) digits is 8960, while the sum is 32.

The spelling of 1220217542141 in words is "one trillion, two hundred twenty billion, two hundred seventeen million, five hundred forty-two thousand, one hundred forty-one".

Divisors: 1 13 107 1391 4001 52013 219251 428107 2850263 5565391 23459857 304978141 877223251 11403902263 93862887857 1220217542141